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Maths · Grade 6 · Set B
Inequalities: Set B
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Goal: 15 min
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Remember: An inequality names a whole set of answers. A ray shows them all, and the wide side of the sign faces the bigger number.

Read and write inequalities

1
Sam has less than 9 stickers. Let s stand for the stickers he has. Which inequality fits?
s > 9s = 9s < 9
2
Each dot is a whole number. The lines are A on top, B in the middle and C at the bottom. Which line has dots only on numbers that make x < 4 true?
ABC
3
Does 10 make x > 7 true?
YesNo
4
Pip read fewer than 6 books. Let b stand for the books. What is the biggest whole number b could be?
5
A bike path is longer than 3 miles. Let p stand for its length in miles. What is the smallest whole number p could be?

Many answers

6
How many numbers make x < 10 true?
Only the numbers marked on the lineInfinitely many: the list never endsOnly one: 9
7
Join each sentence to its inequality.
  1. 1y is greater than 4
  2. 2y is less than 4
  3. 3y is greater than 12
  4. 4y is less than 12
  • Ay > 4
  • By < 4
  • Cy > 12
  • Dy < 12
8
It is warmer than 5 degrees below zero. Let t stand for the temperature. Which inequality fits?
t < −5t > −5t = −5
9
The inequality x < 6 says the same as 6 < x.
TrueFalse
10
Which number is not a solution of x < −1?
−4−20−1.5

Stretch

11
x > 4.5. What is the smallest whole number that x can be?
12
Number the steps to show x > 3 on a number line.
  • Think: bigger numbers are to the right of 3
  • Mark 3
  • Draw a ray from 3 going right, with the wide side of the sign facing it
  • Draw a number line
13
Write a short story that x > 5 could be about. Say what x stands for.
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